For this case we have to:
Given the quadratic equation of the form:
The roots are given by:
If we have: 
We can rewrite it in the following way:
Where:
Where we have:
By definition: 
Thus, the roots are given by imaginary numbers:
Answer:
We are given a line with the following data:
r-value = 0.657 (r)
standard deviation of x-coordinates = 2.445 (Sx)
standard deviation of y-coordinates = 9.902 (Sy)
We are asked to find the slope of the line up to 3 decimal places.
To find the slope of the line, based on the data that we have, we can use this formula:
slope, b = r * (Sy / Sx)
substitute the values to the formula:
b = 0.657 * ( 9.902 / 2.445 )
Solve for the b.
Therefore, the slope of the line is
b = 2.66078, round off to three decimal places:
b = 2.661 is the slope of the line.
Answer:
undefined
Step-by-step explanation:
The x coordinates didn't change so the line is vertical and vertical lines have undefined slope
Answer:
2. (5, -5)
3. (-3, 2)
4. (2, 4)
Step-by-step explanation:
Each vertex can be found using two simple steps.
1) The number being added or subtracted from x.
-The x coordinate of your vertex is the opposite of that number.
2) The number after the absolute value symbol.
-The y coordinate is that value.
